Chen, Changhao; Shparlinski, Igor E. Small values of Weyl sums. (English) Zbl 07315633 J. Math. Anal. Appl. 495, No. 2, Article ID 124743, 21 p. (2021). MSC: 11J 11L PDF BibTeX XML Cite \textit{C. Chen} and \textit{I. E. Shparlinski}, J. Math. Anal. Appl. 495, No. 2, Article ID 124743, 21 p. (2021; Zbl 07315633) Full Text: DOI
Dasu, Shival; Demeter, Ciprian; Langowski, Bartosz Sharp \(\ell^p\)-improving estimates for the discrete paraboloid. (English) Zbl 07309275 J. Fourier Anal. Appl. 27, No. 1, Paper No. 3, 19 p. (2021). MSC: 42A45 11L05 PDF BibTeX XML Cite \textit{S. Dasu} et al., J. Fourier Anal. Appl. 27, No. 1, Paper No. 3, 19 p. (2021; Zbl 07309275) Full Text: DOI
Biswas, Sazzad Ali; Zink, Ernst-Wilhelm Local root numbers for Heisenberg-representations – some explicit results. (English) Zbl 07308674 Int. J. Math. 32, No. 1, Article ID 2050127, 24 p. (2021). MSC: 11L05 11T24 11S37 11S20 20Cxx PDF BibTeX XML Cite \textit{S. A. Biswas} and \textit{E.-W. Zink}, Int. J. Math. 32, No. 1, Article ID 2050127, 24 p. (2021; Zbl 07308674) Full Text: DOI
Dujella, Andrej; Kazalicki, Matija Diophantine \(m\)-tuples in finite fields and modular forms. (English) Zbl 07304550 Res. Number Theory 7, No. 1, Paper No. 3, 24 p. (2021). MSC: 11D09 11G05 11F33 11T24 PDF BibTeX XML Cite \textit{A. Dujella} and \textit{M. Kazalicki}, Res. Number Theory 7, No. 1, Paper No. 3, 24 p. (2021; Zbl 07304550) Full Text: DOI
Nien, Chufeng; Zhang, Lei Converse theorem of Gauss sums. (English) Zbl 07300438 J. Number Theory 221, 365-388 (2021). MSC: 11T24 11Z05 PDF BibTeX XML Cite \textit{C. Nien} and \textit{L. Zhang}, J. Number Theory 221, 365--388 (2021; Zbl 07300438) Full Text: DOI
Ye, Rongqing; Zelingher, Elad Epsilon factors of representations of finite general linear groups. (English) Zbl 07300427 J. Number Theory 221, 122-142 (2021). MSC: 11L05 20C33 PDF BibTeX XML Cite \textit{R. Ye} and \textit{E. Zelingher}, J. Number Theory 221, 122--142 (2021; Zbl 07300427) Full Text: DOI
Shkredov, I. D. Modular hyperbolas and bilinear forms of Kloosterman sums. (English) Zbl 07276981 J. Number Theory 220, 182-211 (2021). MSC: 11T24 11L07 PDF BibTeX XML Cite \textit{I. D. Shkredov}, J. Number Theory 220, 182--211 (2021; Zbl 07276981) Full Text: DOI
Giugiuc, Leonard M.; Suceavă, Bogdan D. A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities. I. (English) Zbl 07315981 Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5092-2/pbk; 978-1-4704-5666-5/ebook). Contemporary Mathematics 756, 121-131 (2020). MSC: 53C42 53A07 53A10 26D15 53B25 PDF BibTeX XML Cite \textit{L. M. Giugiuc} and \textit{B. D. Suceavă}, Contemp. Math. 756, 121--131 (2020; Zbl 07315981) Full Text: DOI
Long, Ling Some numeric hypergeometric supercongruences. (English) Zbl 07315968 Krauel, Matthew (ed.) et al., Vertex operator algebras, number theory and related topics. International conference, California State University, Sacramento, CA, USA, June 11–15, 2018. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4938-4/pbk; 978-1-4704-5636-8/ebook). Contemporary Mathematics 753, 139-156 (2020). MSC: 11T24 33C80 PDF BibTeX XML Cite \textit{L. Long}, Contemp. Math. 753, 139--156 (2020; Zbl 07315968) Full Text: DOI
Oi, Masao Unramified base change of simple supercuspidal \(L\)-packets of quasi-split classical groups. (English) Zbl 07311540 RIMS Kôkyûroku Bessatsu B83, 61-81 (2020). MSC: 22E50 22E57 11F70 11L05 PDF BibTeX XML Cite \textit{M. Oi}, RIMS Kôkyûroku Bessatsu B83, 61--81 (2020; Zbl 07311540) Full Text: Link
Korolev, Maksim Aleksandrovich Kloosterman sums with primes and the solvability of one congruence with inverse residues. II. (Russian. English summary) Zbl 07310040 Chebyshevskiĭ Sb. 21, No. 1(73), 200-211 (2020). MSC: 11L05 11L20 11A07 PDF BibTeX XML Cite \textit{M. A. Korolev}, Chebyshevskiĭ Sb. 21, No. 1(73), 200--211 (2020; Zbl 07310040) Full Text: DOI MNR
Bag, Nilanjan; Barman, Rupam Fourth power mean of the general 4-dimensional Kloosterman sum mod \(p\). (English) Zbl 07304538 Res. Number Theory 6, No. 3, Paper No. 31, 15 p. (2020). MSC: 11L05 PDF BibTeX XML Cite \textit{N. Bag} and \textit{R. Barman}, Res. Number Theory 6, No. 3, Paper No. 31, 15 p. (2020; Zbl 07304538) Full Text: DOI
Fouvry, Étienne; Ganguly, Satadal Sums of products of Kloosterman sums modulo \(p^2\). (English) Zbl 07301082 Acta Arith. 196, No. 2, 203-217 (2020). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{É. Fouvry} and \textit{S. Ganguly}, Acta Arith. 196, No. 2, 203--217 (2020; Zbl 07301082) Full Text: DOI
Kashuri, Artion Sharp inequality of three point Gauss-Legendre quadrature rule. (English) Zbl 07299986 Proyecciones 39, No. 3, 639-649 (2020). MSC: 26D07 26A42 26D10 26D15 PDF BibTeX XML Cite \textit{A. Kashuri}, Proyecciones 39, No. 3, 639--649 (2020; Zbl 07299986) Full Text: DOI
Sripaisan, Naparat; Meemark, Yotsanan Approximately mutually unbiased bases by Frobenius rings. (English) Zbl 07299325 J. Syst. Sci. Complex. 33, No. 4, 1244-1251 (2020). MSC: 81P70 81P55 16L60 11T24 PDF BibTeX XML Cite \textit{N. Sripaisan} and \textit{Y. Meemark}, J. Syst. Sci. Complex. 33, No. 4, 1244--1251 (2020; Zbl 07299325) Full Text: DOI
Qi, Lan; Chen, Zhuoyu The hybrid power mean of character sums of polynomials and two-term exponential sums. (Chinese. English summary) Zbl 07294939 Acta Math. Sin., Chin. Ser. 63, No. 4, 397-402 (2020). MSC: 11L03 11L05 11L10 PDF BibTeX XML Cite \textit{L. Qi} and \textit{Z. Chen}, Acta Math. Sin., Chin. Ser. 63, No. 4, 397--402 (2020; Zbl 07294939)
Cao, Ruyue; Fang, Chengcheng; Cao, Wei \(p\)-adic hypergeometric functions and rational points on Dwork hypersurfaces. (Chinese. English summary) Zbl 07294927 Acta Math. Sin., Chin. Ser. 63, No. 3, 253-260 (2020). MSC: 33C20 11T24 14J70 PDF BibTeX XML Cite \textit{R. Cao} et al., Acta Math. Sin., Chin. Ser. 63, No. 3, 253--260 (2020; Zbl 07294927)
Ghidelli, Luca Arbitrarily long gaps between the values of positive-definite cubic and biquadratic diagonal forms. (English) Zbl 07288950 J. Lond. Math. Soc., II. Ser. 102, No. 1, 43-68 (2020). MSC: 11B05 11R37 11R45 11T06 11T24 PDF BibTeX XML Cite \textit{L. Ghidelli}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 43--68 (2020; Zbl 07288950) Full Text: DOI
Dragomir, Silvestru Sever Some multiple integral inequalities via the divergence theorem. (English) Zbl 07288759 J. Math. Inequal. 14, No. 3, 661-671 (2020). MSC: 26D15 PDF BibTeX XML Cite \textit{S. S. Dragomir}, J. Math. Inequal. 14, No. 3, 661--671 (2020; Zbl 07288759) Full Text: DOI
Yau, Kam Hung On products of primes and square-free integers in arithmetic progressions. (English) Zbl 07283362 N. Z. J. Math. 50, 93-99 (2020). MSC: 11L05 11A07 PDF BibTeX XML Cite \textit{K. H. Yau}, N. Z. J. Math. 50, 93--99 (2020; Zbl 07283362) Full Text: Link
Balkanova, Olga; Frolenkov, Dmitry Prime geodesic theorem for the Picard manifold. (English) Zbl 07281402 Adv. Math. 375, Article ID 107377, 42 p. (2020). MSC: 11F72 11L05 11M06 PDF BibTeX XML Cite \textit{O. Balkanova} and \textit{D. Frolenkov}, Adv. Math. 375, Article ID 107377, 42 p. (2020; Zbl 07281402) Full Text: DOI
Avdeeva, M. O.; Gorbatuk, N. V.; Shul’ga, N. A. On Gauss and Kloosterman sums. (Russian. English summary) Zbl 1453.11103 Dal’nevost. Mat. Zh. 20, No. 1, 9-14 (2020). MSC: 11L05 11D45 PDF BibTeX XML Cite \textit{M. O. Avdeeva} et al., Dal'nevost. Mat. Zh. 20, No. 1, 9--14 (2020; Zbl 1453.11103) Full Text: MNR
Zhang, Mengjie A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems. (English) Zbl 1453.37002 J. Math. Anal. Appl. 491, No. 2, Article ID 124350, 10 p. (2020). MSC: 37A05 37E05 37A30 PDF BibTeX XML Cite \textit{M. Zhang}, J. Math. Anal. Appl. 491, No. 2, Article ID 124350, 10 p. (2020; Zbl 1453.37002) Full Text: DOI
Saikia, Neelam Zeros of \(p\)-adic hypergeometric functions, \(p\)-adic analogues of Kummer’s and Pfaff’s identities. (English) Zbl 1453.11156 Pac. J. Math. 307, No. 2, 491-510 (2020). Reviewer: Yilmaz Simsek (Antalya) MSC: 11S80 11T24 33C20 33C99 33E50 PDF BibTeX XML Cite \textit{N. Saikia}, Pac. J. Math. 307, No. 2, 491--510 (2020; Zbl 1453.11156) Full Text: DOI
Bordignon, Matteo; Kerr, Bryce An explicit Pólya-Vinogradov inequality via partial Gaussian sums. (English) Zbl 07255585 Trans. Am. Math. Soc. 373, No. 9, 6503-6527 (2020). MSC: 11L40 11L05 11H06 11H60 PDF BibTeX XML Cite \textit{M. Bordignon} and \textit{B. Kerr}, Trans. Am. Math. Soc. 373, No. 9, 6503--6527 (2020; Zbl 07255585) Full Text: DOI
Li, Chengju; Yue, Qin; Xia, Yongbo; Peng, Wei A class of exponential sums and sequence families. (English) Zbl 07254102 Cryptogr. Commun. 12, No. 3, 569-584 (2020). MSC: 11T23 11T24 94A55 PDF BibTeX XML Cite \textit{C. Li} et al., Cryptogr. Commun. 12, No. 3, 569--584 (2020; Zbl 07254102) Full Text: DOI
Cao, Xiwang; Luo, Gaojun; Xu, Guangkui Three deterministic constructions of compressed sensing matrices with low coherence. (English) Zbl 07254100 Cryptogr. Commun. 12, No. 3, 547-558 (2020). MSC: 94A12 11L40 12E20 PDF BibTeX XML Cite \textit{X. Cao} et al., Cryptogr. Commun. 12, No. 3, 547--558 (2020; Zbl 07254100) Full Text: DOI
Andersen, Nickolas; Duke, William D. Modular invariants for real quadratic fields and Kloosterman sums. (English) Zbl 07248666 Algebra Number Theory 14, No. 6, 1537-1575 (2020). MSC: 11F37 11L05 PDF BibTeX XML Cite \textit{N. Andersen} and \textit{W. D. Duke}, Algebra Number Theory 14, No. 6, 1537--1575 (2020; Zbl 07248666) Full Text: DOI
Jang, Young Ho Generalized Cohn functions on Galois rings. (English) Zbl 07244701 Korean J. Math. 28, No. 2, 241-255 (2020). MSC: 11T24 16L60 42A38 42B10 PDF BibTeX XML Cite \textit{Y. H. Jang}, Korean J. Math. 28, No. 2, 241--255 (2020; Zbl 07244701) Full Text: DOI
Lv, Xingxing; Li, Xiaoxue On the hybrid power mean involving the two-term exponential sums and polynomial character sums. (English) Zbl 07238363 Chin. Ann. Math., Ser. B 41, No. 4, 547-558 (2020). MSC: 11L03 11L05 PDF BibTeX XML Cite \textit{X. Lv} and \textit{X. Li}, Chin. Ann. Math., Ser. B 41, No. 4, 547--558 (2020; Zbl 07238363) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi The Bombieri-Vinogradov theorem on higher rank groups and its applications. (English) Zbl 07224948 Can. J. Math. 72, No. 4, 928-966 (2020). MSC: 11F30 11L05 11L20 11N37 11N75 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{G. Lü}, Can. J. Math. 72, No. 4, 928--966 (2020; Zbl 07224948) Full Text: DOI
Isaacson, Brad The Tsukano conjectures on exponential sums. (English) Zbl 07224920 Osaka J. Math. 57, No. 3, 543-561 (2020). MSC: 11T23 11T24 PDF BibTeX XML Cite \textit{B. Isaacson}, Osaka J. Math. 57, No. 3, 543--561 (2020; Zbl 07224920) Full Text: Euclid
Dimitrov, Stoyan On the number of pairs of positive integers \(x, y \leq H\) such that \(x^2+y^2+1, x^2+y^2+2\) are square-free. (English) Zbl 07221818 Acta Arith. 194, No. 3, 281-294 (2020). MSC: 11L05 11N25 11N37 PDF BibTeX XML Cite \textit{S. Dimitrov}, Acta Arith. 194, No. 3, 281--294 (2020; Zbl 07221818) Full Text: DOI
Pujahari, Sudhir; Saikia, Neelam Traces of Hecke operators in level 1 and \(p\)-adic hypergeometric functions. (English) Zbl 07221127 Ramanujan J. 52, No. 3, 519-539 (2020). MSC: 11F30 11G20 33E50 11T24 11S80 PDF BibTeX XML Cite \textit{S. Pujahari} and \textit{N. Saikia}, Ramanujan J. 52, No. 3, 519--539 (2020; Zbl 07221127) Full Text: DOI
Xu, Junyan Stratification for multiplicative character sums. (English) Zbl 07217939 Int. Math. Res. Not. 2020, No. 10, 2881-2917 (2020). MSC: 11T24 PDF BibTeX XML Cite \textit{J. Xu}, Int. Math. Res. Not. 2020, No. 10, 2881--2917 (2020; Zbl 07217939) Full Text: DOI
Milovanović, Gradimir V.; Simsek, Yilmaz Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas. (English) Zbl 07216532 Raigorodskii, Andrei M. (ed.) et al., Trigonometric sums and their applications. Cham: Springer (ISBN 978-3-030-37903-2/hbk; 978-3-030-37904-9/ebook). 183-228 (2020). MSC: 65 41A 65A 65D 00A PDF BibTeX XML Cite \textit{G. V. Milovanović} and \textit{Y. Simsek}, in: Trigonometric sums and their applications. Cham: Springer. 183--228 (2020; Zbl 07216532) Full Text: DOI
Ezome, Tony; Sall, Mohamadou Normal bases from 1-dimensional algebraic groups. (English) Zbl 07211789 J. Symb. Comput. 101, 152-169 (2020). MSC: 11T24 11G20 68W30 PDF BibTeX XML Cite \textit{T. Ezome} and \textit{M. Sall}, J. Symb. Comput. 101, 152--169 (2020; Zbl 07211789) Full Text: DOI
Pham, Thang; Suk, Andrew On the structure of distance sets over prime fields. (English) Zbl 1453.11164 Proc. Am. Math. Soc. 148, No. 8, 3209-3215 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 11T23 11T60 11B30 11T24 11H31 PDF BibTeX XML Cite \textit{T. Pham} and \textit{A. Suk}, Proc. Am. Math. Soc. 148, No. 8, 3209--3215 (2020; Zbl 1453.11164) Full Text: DOI
Rojas-León, Antonio Tensor and convolution direct image of \(\mathcal{l} \)-adic sheaves. (English) Zbl 07209608 Mathematika 66, No. 1, 125-143 (2020). MSC: 11L07 11T24 14F20 11S40 PDF BibTeX XML Cite \textit{A. Rojas-León}, Mathematika 66, No. 1, 125--143 (2020; Zbl 07209608) Full Text: DOI
Munsch, Marc; Shparlinski, Igor E.; Yau, Kam Hung Smooth squarefree and squarefull integers in arithmetic progressions. (English) Zbl 1446.11174 Mathematika 66, No. 1, 56-70 (2020). Reviewer: Krassimir Atanassov (Sofia) MSC: 11N25 11B25 11L05 11L40 PDF BibTeX XML Cite \textit{M. Munsch} et al., Mathematika 66, No. 1, 56--70 (2020; Zbl 1446.11174) Full Text: DOI
Dragomir, Silvestru Sever Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\). (English) Zbl 1441.26015 J. Appl. Anal. 26, No. 1, 67-77 (2020). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D15 26D10 PDF BibTeX XML Cite \textit{S. S. Dragomir}, J. Appl. Anal. 26, No. 1, 67--77 (2020; Zbl 1441.26015) Full Text: DOI
Griffon, Richard A new family of elliptic curves with unbounded rank. (English) Zbl 07206647 Mosc. Math. J. 20, No. 2, 343-374 (2020). MSC: 11G05 11M38 11G40 14G10 11L05 PDF BibTeX XML Cite \textit{R. Griffon}, Mosc. Math. J. 20, No. 2, 343--374 (2020; Zbl 07206647) Full Text: Link
Huang, Jing-Jing; Li, Huixi On two lattice points problems about the parabola. (English) Zbl 1445.11058 Int. J. Number Theory 16, No. 4, 719-729 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J25 11P21 PDF BibTeX XML Cite \textit{J.-J. Huang} and \textit{H. Li}, Int. J. Number Theory 16, No. 4, 719--729 (2020; Zbl 1445.11058) Full Text: DOI
Tripathi, Mohit; Saikia, Neelam; Barman, Rupam Appell’s hypergeometric series over finite fields. (English) Zbl 1440.33012 Int. J. Number Theory 16, No. 4, 673-692 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C65 11T24 PDF BibTeX XML Cite \textit{M. Tripathi} et al., Int. J. Number Theory 16, No. 4, 673--692 (2020; Zbl 1440.33012) Full Text: DOI
Gras, Georges New criteria for Vandiver’s conjecture using Gauss sums – heuristics and numerical experiments. (English) Zbl 1448.11194 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020). MSC: 11R18 11L05 11R37 11R29 PDF BibTeX XML Cite \textit{G. Gras}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 32, 38 p. (2020; Zbl 1448.11194) Full Text: DOI
Lu, Wei; Wu, Xia; Cao, Xiwang; Chen, Ming Six constructions of asymptotically optimal codebooks via the character sums. (English) Zbl 1442.94001 Des. Codes Cryptography 88, No. 6, 1139-1158 (2020). Reviewer: Ziling Heng (Nanjing) MSC: 94A05 11T24 PDF BibTeX XML Cite \textit{W. Lu} et al., Des. Codes Cryptography 88, No. 6, 1139--1158 (2020; Zbl 1442.94001) Full Text: DOI
Xi, Ping; Yi, Yuan Kloosterman sums and a problem of D. H. Lehmer. (English) Zbl 07202212 Chin. Ann. Math., Ser. B 41, No. 3, 361-370 (2020). MSC: 11N69 11L05 PDF BibTeX XML Cite \textit{P. Xi} and \textit{Y. Yi}, Chin. Ann. Math., Ser. B 41, No. 3, 361--370 (2020; Zbl 07202212) Full Text: DOI
Ricotta, Guillaume; Royer, Emmanuel; Shparlinski, Igor Kloosterman paths of prime powers moduli. II. (English) Zbl 07202209 Bull. Soc. Math. Fr. 148, No. 1, 173-188 (2020). MSC: 11T23 11L05 60F17 60G17 60G50 PDF BibTeX XML Cite \textit{G. Ricotta} et al., Bull. Soc. Math. Fr. 148, No. 1, 173--188 (2020; Zbl 07202209) Full Text: DOI
Li, Fengwei; Yue, Qin; Wu, Yansheng Designed distances and parameters of new LCD BCH codes over finite fields. (English) Zbl 1434.94100 Cryptogr. Commun. 12, No. 1, 147-163 (2020). MSC: 94B15 11T71 11T24 PDF BibTeX XML Cite \textit{F. Li} et al., Cryptogr. Commun. 12, No. 1, 147--163 (2020; Zbl 1434.94100) Full Text: DOI
Jang, Young Ho The Jacobi sums over Galois rings and its absolute values. (English) Zbl 1452.11099 J. Korean Math. Soc. 57, No. 3, 571-583 (2020). MSC: 11L05 11L07 11T23 11T24 PDF BibTeX XML Cite \textit{Y. H. Jang}, J. Korean Math. Soc. 57, No. 3, 571--583 (2020; Zbl 1452.11099) Full Text: DOI
Kaneko, Ikuya The second moment for counting prime geodesics. (English) Zbl 07192781 Proc. Japan Acad., Ser. A 96, No. 1, 7-12 (2020). MSC: 11M36 11F72 11L05 11M26 PDF BibTeX XML Cite \textit{I. Kaneko}, Proc. Japan Acad., Ser. A 96, No. 1, 7--12 (2020; Zbl 07192781) Full Text: DOI Euclid
Banks, William; Shparlinski, Igor Congruences with intervals and arbitrary sets. (English) Zbl 07191876 Arch. Math. 114, No. 5, 527-539 (2020). MSC: 11A07 11L05 11L40 PDF BibTeX XML Cite \textit{W. Banks} and \textit{I. Shparlinski}, Arch. Math. 114, No. 5, 527--539 (2020; Zbl 07191876) Full Text: DOI
Aoki, Miho; Kishi, Yasuhiro A family of pairs of imaginary cyclic fields of degree \((p-1)/2\) with both class numbers divisible by \(p\). (English) Zbl 1447.11113 Ramanujan J. 52, No. 1, 133-161 (2020). Reviewer: James E. Carter (Charleston) MSC: 11R11 11R16 11R29 PDF BibTeX XML Cite \textit{M. Aoki} and \textit{Y. Kishi}, Ramanujan J. 52, No. 1, 133--161 (2020; Zbl 1447.11113) Full Text: DOI
Krachun, Dmitry; Petrov, Fedor; Sun, Zhi-Wei; Vsemirnov, Maxim On some determinants involving Jacobi symbols. (English) Zbl 1444.11240 Finite Fields Appl. 64, Article ID 101672, 25 p. (2020). MSC: 11T24 11C20 11E16 15A15 PDF BibTeX XML Cite \textit{D. Krachun} et al., Finite Fields Appl. 64, Article ID 101672, 25 p. (2020; Zbl 1444.11240) Full Text: DOI
Han, Rui; Krause, Ben; Lacey, Michael T.; Yang, Fan Averages along the primes: improving and sparse bounds. (English) Zbl 1436.42013 Concr. Oper. 7, 45-54 (2020). MSC: 42A45 42B25 11L05 PDF BibTeX XML Cite \textit{R. Han} et al., Concr. Oper. 7, 45--54 (2020; Zbl 1436.42013) Full Text: DOI
Zhai, Wenguang On a sum involving the Euler function. (English) Zbl 1437.11119 J. Number Theory 211, 199-219 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L05 11N37 PDF BibTeX XML Cite \textit{W. Zhai}, J. Number Theory 211, 199--219 (2020; Zbl 1437.11119) Full Text: DOI
Kerr, Bryce On the constant in the Pólya-Vinogradov inequality. (English) Zbl 1439.11194 J. Number Theory 212, 265-284 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{B. Kerr}, J. Number Theory 212, 265--284 (2020; Zbl 1439.11194) Full Text: DOI
Bley, Werner; Burns, David; Hahn, Carl On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification. (English) Zbl 1451.11121 Ann. \(K\)-Theory 5, No. 1, 79-140 (2020). Reviewer: Andreas Nickel (Essen) MSC: 11R33 16E20 19A49 PDF BibTeX XML Cite \textit{W. Bley} et al., Ann. \(K\)-Theory 5, No. 1, 79--140 (2020; Zbl 1451.11121) Full Text: DOI
Korolev, Maxim; Shparlinski, Igor Sums of algebraic trace functions twisted by arithmetic functions. (English) Zbl 07179068 Pac. J. Math. 304, No. 2, 505-522 (2020). MSC: 11L05 11N25 11T23 PDF BibTeX XML Cite \textit{M. Korolev} and \textit{I. Shparlinski}, Pac. J. Math. 304, No. 2, 505--522 (2020; Zbl 07179068) Full Text: DOI
Tanti, Jagmohan Euler’s criterion for prime order in the PID case. (English) Zbl 07178787 Acta Arith. 192, No. 3, 259-265 (2020). MSC: 11T22 11T24 PDF BibTeX XML Cite \textit{J. Tanti}, Acta Arith. 192, No. 3, 259--265 (2020; Zbl 07178787) Full Text: DOI
Xi, Ping When Kloosterman sums meet Hecke eigenvalues. (English) Zbl 1436.11105 Invent. Math. 220, No. 1, 61-127 (2020). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11F30 11N36 11T23 11F80 11F11 11G18 14J32 PDF BibTeX XML Cite \textit{P. Xi}, Invent. Math. 220, No. 1, 61--127 (2020; Zbl 1436.11105) Full Text: DOI
Wu, J. Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski. (English) Zbl 1449.11011 Period. Math. Hung. 46, No. 1, 95-102 (2020). Reviewer: Pentti Haukkanen (Tampere) MSC: 11A25 11N36 11N37 11L05 PDF BibTeX XML Cite \textit{J. Wu}, Period. Math. Hung. 46, No. 1, 95--102 (2020; Zbl 1449.11011) Full Text: DOI
Jiang, Kun; Gao, Wei; Cao, Wei Counting solutions to generalized Markoff-Hurwitz-type equations in finite fields. (English) Zbl 1452.11146 Finite Fields Appl. 62, Article ID 101609, 11 p. (2020). MSC: 11T06 11T24 11D45 PDF BibTeX XML Cite \textit{K. Jiang} et al., Finite Fields Appl. 62, Article ID 101609, 11 p. (2020; Zbl 1452.11146) Full Text: DOI
Lai, Tim; Marino, Alicia; Robinson, Angela; Wan, Daqing Moment subset sums over finite fields. (English) Zbl 1436.11145 Finite Fields Appl. 62, Article ID 101607, 25 p. (2020). MSC: 11T24 11T71 PDF BibTeX XML Cite \textit{T. Lai} et al., Finite Fields Appl. 62, Article ID 101607, 25 p. (2020; Zbl 1436.11145) Full Text: DOI
Alaca, Şaban; Millar, Goldwyn Shift-inequivalent decimations of the Sidelnikov-Lempel-Cohn-Eastman sequences. (English) Zbl 1433.05053 Des. Codes Cryptography 88, No. 3, 567-583 (2020). MSC: 05B10 94A55 11T23 11T71 11B50 PDF BibTeX XML Cite \textit{Ş. Alaca} and \textit{G. Millar}, Des. Codes Cryptography 88, No. 3, 567--583 (2020; Zbl 1433.05053) Full Text: DOI
Ito, Hiroshi Logarithms of theta functions on the upper half space. (English) Zbl 07153001 J. Number Theory 209, 421-450 (2020). MSC: 11F27 11F20 11F33 11L07 PDF BibTeX XML Cite \textit{H. Ito}, J. Number Theory 209, 421--450 (2020; Zbl 07153001) Full Text: DOI
Cruickshank, J.; Gutiérrez Frez, L.; Szechtman, F. Weil representations via abstract data and Heisenberg groups: a comparison. (English) Zbl 07152377 J. Algebra 547, 129-161 (2020). Reviewer: Danail Brezov (Sofia) MSC: 20C15 20H25 20F05 11T24 15B33 PDF BibTeX XML Cite \textit{J. Cruickshank} et al., J. Algebra 547, 129--161 (2020; Zbl 07152377) Full Text: DOI
Technau, Marc Modular hyperbolas and Beatty sequences. (English) Zbl 07137124 J. Number Theory 208, 148-167 (2020). MSC: 11B83 11L05 11L07 11D79 PDF BibTeX XML Cite \textit{M. Technau}, J. Number Theory 208, 148--167 (2020; Zbl 07137124) Full Text: DOI arXiv
Kewat, Pramod Kumar; Kumar, Ram Hypergeometric functions and algebraic curves \(y^e=x^d+a^x+b\). (English) Zbl 1441.11165 J. Ramanujan Math. Soc. 34, No. 3, 325-342 (2019). MSC: 11G20 11T24 33C05 PDF BibTeX XML Cite \textit{P. K. Kewat} and \textit{R. Kumar}, J. Ramanujan Math. Soc. 34, No. 3, 325--342 (2019; Zbl 1441.11165) Full Text: Link
Katz, Daniel J. Weil sums of binomials: properties, applications and open problems. (English) Zbl 07224774 Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter (ISBN 978-3-11-064179-0/hbk; 978-3-11-064209-4/ebook). Radon Series on Computational and Applied Mathematics 23, 109-134 (2019). MSC: 11T23 11T24 11T71 94B15 PDF BibTeX XML Cite \textit{D. J. Katz}, Radon Ser. Comput. Appl. Math. 23, 109--134 (2019; Zbl 07224774) Full Text: DOI
Fouvry, Étienne; Kowalski, Emmanuel; Michel, Philippe; Sawin, Will Lectures on applied \(\ell\)-adic cohomology. (English) Zbl 1450.11038 Bucur, Alina (ed.) et al., Analytic methods in arithmetic geometry. Arizona winter school 2016, the University of Arizona, Tucson, AZ, USA, March 12–16, 2016. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 740, 113-195 (2019). Reviewer: Fangzhou Jin (Essen) MSC: 11F03 11L05 14F20 PDF BibTeX XML Cite \textit{É. Fouvry} et al., Contemp. Math. 740, 113--195 (2019; Zbl 1450.11038) Full Text: DOI
Chubarikov, Vladimir Nikolaevich Generalized Gaussian sums and Bernoulli polynomials. (Russian. English summary) Zbl 1442.11116 Chebyshevskiĭ Sb. 20, No. 1(69), 284-293 (2019). MSC: 11L05 11B68 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 20, No. 1(69), 284--293 (2019; Zbl 1442.11116) Full Text: DOI MNR
Nikolova, Ludmila; Varošanec, Sanja Continuous forms of Gauss-Pólya type inequalities involving derivatives. (English) Zbl 1434.26059 Math. Inequal. Appl. 22, No. 4, 1385-1395 (2019). MSC: 26D15 26D10 PDF BibTeX XML Cite \textit{L. Nikolova} and \textit{S. Varošanec}, Math. Inequal. Appl. 22, No. 4, 1385--1395 (2019; Zbl 1434.26059) Full Text: DOI
Ricotta, Guillaume Distribution of short sums of classical Kloosterman sums of prime powers moduli. (Distribution des sommes courtes des sommes de Kloosterman classiques de module une puissance d’un nombre premier.) (English. French summary) Zbl 1442.11167 Ann. Math. Blaise Pascal 26, No. 1, 101-117 (2019). Reviewer: Emmanuel Royer (Aubière) MSC: 11T23 11L05 PDF BibTeX XML Cite \textit{G. Ricotta}, Ann. Math. Blaise Pascal 26, No. 1, 101--117 (2019; Zbl 1442.11167) Full Text: DOI
Zhang, Wenpeng; Chen, Zhuoyu A hybrid power mean of the two-term exponential sums and the reciprocal of the quartic Gauss sums. (English) Zbl 07157360 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 2, 191-198 (2019). MSC: 11L05 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{Z. Chen}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 2, 191--198 (2019; Zbl 07157360)
Chern, Shane On the power mean of a sum analogous to the Kloosterman sum. (English) Zbl 07157350 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 1, 77-92 (2019). Reviewer: Mihály Szalay (Budapest) MSC: 11L05 PDF BibTeX XML Cite \textit{S. Chern}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 62(110), No. 1, 77--92 (2019; Zbl 07157350)
Wang, Tingting; Guan, Yaliang A new sum related to Dedekind sums and its values in some special integers. (Chinese. English summary) Zbl 1449.11083 Acta Math. Sin., Chin. Ser. 62, No. 3, 497-502 (2019). MSC: 11L05 11L10 11L40 PDF BibTeX XML Cite \textit{T. Wang} and \textit{Y. Guan}, Acta Math. Sin., Chin. Ser. 62, No. 3, 497--502 (2019; Zbl 1449.11083)
Dimitrov, S. I. On the distribution of consecutive square-free numbers of the form \([\alpha n], [\alpha n]+1\). (English) Zbl 1428.11163 Proc. Jangjeon Math. Soc. 22, No. 3, 463-470 (2019). MSC: 11N25 11L05 11N37 PDF BibTeX XML Cite \textit{S. I. Dimitrov}, Proc. Jangjeon Math. Soc. 22, No. 3, 463--470 (2019; Zbl 1428.11163) Full Text: DOI
Korolev, M. A. Short Kloosterman sums with primes. (English. Russian original) Zbl 1440.11153 Math. Notes 106, No. 1, 89-97 (2019); translation from Mat. Zametki 106, No. 1, 84-94 (2019). MSC: 11L05 PDF BibTeX XML Cite \textit{M. A. Korolev}, Math. Notes 106, No. 1, 89--97 (2019; Zbl 1440.11153); translation from Mat. Zametki 106, No. 1, 84--94 (2019) Full Text: DOI
Buttcane, Jack The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). I: The Whittaker case. (English) Zbl 07144995 Rev. Mat. Iberoam. 35, No. 7, 2093-2118 (2019). MSC: 11L05 11F72 11F55 PDF BibTeX XML Cite \textit{J. Buttcane}, Rev. Mat. Iberoam. 35, No. 7, 2093--2118 (2019; Zbl 07144995) Full Text: DOI arXiv
Yin, Wenjuan; Xiang, Can; Fu, Fang-Wei A further construction of asymptotically optimal codebooks with multiplicative characters. (English) Zbl 07144438 Appl. Algebra Eng. Commun. Comput. 30, No. 6, 453-469 (2019). MSC: 94B05 11T24 PDF BibTeX XML Cite \textit{W. Yin} et al., Appl. Algebra Eng. Commun. Comput. 30, No. 6, 453--469 (2019; Zbl 07144438) Full Text: DOI
Oi, Masao Endoscopic lifting of simple supercuspidal representations of unramified \(\mathrm{U}_N\) to \(\mathrm{GL}_N\). (English) Zbl 1437.22008 Publ. Res. Inst. Math. Sci. 55, No. 4, 895-938 (2019). Reviewer: Yuval Z. Flicker (Ariel) MSC: 22E50 11F70 11L05 PDF BibTeX XML Cite \textit{M. Oi}, Publ. Res. Inst. Math. Sci. 55, No. 4, 895--938 (2019; Zbl 1437.22008) Full Text: DOI
Lewko, Mark Finite field restriction estimates based on Kakeya maximal operator estimates. (English) Zbl 1429.42009 J. Eur. Math. Soc. (JEMS) 21, No. 12, 3649-3707 (2019). MSC: 42B10 42B25 14G15 52C17 11T24 PDF BibTeX XML Cite \textit{M. Lewko}, J. Eur. Math. Soc. (JEMS) 21, No. 12, 3649--3707 (2019; Zbl 1429.42009) Full Text: DOI arXiv
Joshi, Sunil; Mittal, Ekta; Pandey, Rupakshi M.; Purohit, Sunil D. Some Grüss type inequalities involving generalized fractional integral operator. (English) Zbl 1438.26068 Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 12(61), No. 1, 41-52 (2019). MSC: 26D15 26A33 33C05 33C15 33C20 PDF BibTeX XML Cite \textit{S. Joshi} et al., Bull. Transilv. Univ. Braşov, Ser. III, Math. Inform. Phys. 12(61), No. 1, 41--52 (2019; Zbl 1438.26068) Full Text: DOI
Chen, Zhuoyu; Zhang, Wenpeng On the hybrid power mean of two kind different trigonometric sums. (English) Zbl 07140078 Open Math. 17, 519-526 (2019). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{W. Zhang}, Open Math. 17, 519--526 (2019; Zbl 07140078) Full Text: DOI
Li, Chen; Xiao, Wang A new fourth power mean of two-term exponential sums. (English) Zbl 07140066 Open Math. 17, 407-414 (2019). MSC: 11L05 11L07 PDF BibTeX XML Cite \textit{C. Li} and \textit{W. Xiao}, Open Math. 17, 407--414 (2019; Zbl 07140066) Full Text: DOI
Blomer, Valentin; Buttcane, Jack Global decomposition of \(\operatorname{GL}(3)\) Kloosterman sums and the spectral large sieve. (English) Zbl 07139007 J. Reine Angew. Math. 757, 51-88 (2019). MSC: 11F72 11L05 11F67 PDF BibTeX XML Cite \textit{V. Blomer} and \textit{J. Buttcane}, J. Reine Angew. Math. 757, 51--88 (2019; Zbl 07139007) Full Text: DOI
Yu, Long; Liu, Xiusheng Constant composition codes as subcodes of linear codes. (English) Zbl 1425.94083 J. Appl. Math. Comput. 61, No. 1-2, 205-217 (2019). MSC: 94B05 11T23 PDF BibTeX XML Cite \textit{L. Yu} and \textit{X. Liu}, J. Appl. Math. Comput. 61, No. 1--2, 205--217 (2019; Zbl 1425.94083) Full Text: DOI arXiv
Mohammadi, Ali Improved bounds on Gauss sums in arbitrary finite fields. (English) Zbl 07135176 Int. J. Number Theory 15, No. 10, 2027-2041 (2019). MSC: 11T23 11B75 PDF BibTeX XML Cite \textit{A. Mohammadi}, Int. J. Number Theory 15, No. 10, 2027--2041 (2019; Zbl 07135176) Full Text: DOI arXiv
Chen, Guohua The asymptotic formula for the averages of the product of twisted \(L\)-functions. (English) Zbl 07132653 Ramanujan J. 50, No. 1, 45-60 (2019). MSC: 11F11 11F30 11L05 PDF BibTeX XML Cite \textit{G. Chen}, Ramanujan J. 50, No. 1, 45--60 (2019; Zbl 07132653) Full Text: DOI
Pham, Thang A sum-product theorem in matrix rings over finite fields. (Un théorème somme-produit dans les anneaux de matrices sur les corps finis.) (English. French summary) Zbl 07132523 C. R., Math., Acad. Sci. Paris 357, No. 10, 766-770 (2019). MSC: 11B30 11B75 20G40 PDF BibTeX XML Cite \textit{T. Pham}, C. R., Math., Acad. Sci. Paris 357, No. 10, 766--770 (2019; Zbl 07132523) Full Text: DOI
Miller, Stephen D.; Zhou, Fan The balanced Voronoi formulas for \(\mathrm{GL}(n)\). (English) Zbl 07130825 Int. Math. Res. Not. 2019, No. 11, 3473-3484 (2019). MSC: 11F70 11F30 11L05 11F68 PDF BibTeX XML Cite \textit{S. D. Miller} and \textit{F. Zhou}, Int. Math. Res. Not. 2019, No. 11, 3473--3484 (2019; Zbl 07130825) Full Text: DOI
Carlet, Claude; Li, Chengju; Mesnager, Sihem Linear codes with small hulls in semi-primitive case. (English) Zbl 1423.94145 Des. Codes Cryptography 87, No. 12, 3063-3075 (2019). MSC: 94B05 11T24 11T71 PDF BibTeX XML Cite \textit{C. Carlet} et al., Des. Codes Cryptography 87, No. 12, 3063--3075 (2019; Zbl 1423.94145) Full Text: DOI
Balkanova, Olga; Chatzakos, Dimitrios; Cherubini, Giacomo; Frolenkov, Dmitry; Laaksonen, Niko Prime geodesic theorem in the 3-dimensional hyperbolic space. (English) Zbl 07121875 Trans. Am. Math. Soc. 372, No. 8, 5355-5374 (2019). MSC: 11F72 11M36 11L05 PDF BibTeX XML Cite \textit{O. Balkanova} et al., Trans. Am. Math. Soc. 372, No. 8, 5355--5374 (2019; Zbl 07121875) Full Text: DOI arXiv
Sun, Zhi-Wei Quadratic residues and related permutations and identities. (English) Zbl 07115957 Finite Fields Appl. 59, 246-283 (2019). MSC: 11A15 05A05 11T24 33B10 11A07 11R32 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Finite Fields Appl. 59, 246--283 (2019; Zbl 07115957) Full Text: DOI arXiv
Choe, Hyok; Choe, Chunghyok The \(k\)-subset sum problem over finite fields of characteristic 2. (English) Zbl 07115952 Finite Fields Appl. 59, 175-184 (2019). MSC: 11T24 11T71 PDF BibTeX XML Cite \textit{H. Choe} and \textit{C. Choe}, Finite Fields Appl. 59, 175--184 (2019; Zbl 07115952) Full Text: DOI
Zacharias, Raphaël Simultaneous non-vanishing for Dirichlet \(L\)-functions. (Non-annulation simultanée de fonctions \(L\) de Dirichlet.) (English. French summary) Zbl 07114094 Ann. Inst. Fourier 69, No. 4, 1459-1524 (2019). MSC: 11M26 11M06 11L05 11L07 PDF BibTeX XML Cite \textit{R. Zacharias}, Ann. Inst. Fourier 69, No. 4, 1459--1524 (2019; Zbl 07114094) Full Text: DOI
Li, Xiaoxue; Wu, Chengjing On the hybrid power mean of the generalized quadratic Gauss sums and generalized Kloosterman sums. (Chinese. English summary) Zbl 1438.11115 Math. Pract. Theory 49, No. 8, 236-242 (2019). MSC: 11L05 PDF BibTeX XML Cite \textit{X. Li} and \textit{C. Wu}, Math. Pract. Theory 49, No. 8, 236--242 (2019; Zbl 1438.11115)
Wang, Xiaoying; Cao, Yanmei On a generalization of the D. H. Lemher problem in unions of short intervals. (Chinese. English summary) Zbl 1438.11117 J. Math., Wuhan Univ. 39, No. 3, 379-386 (2019). MSC: 11L05 11L26 PDF BibTeX XML Cite \textit{X. Wang} and \textit{Y. Cao}, J. Math., Wuhan Univ. 39, No. 3, 379--386 (2019; Zbl 1438.11117) Full Text: DOI
Lin, Xin The hybrid power mean of sixth Gauss sums and generalized Kloosterman sums. (English) Zbl 1438.11113 Adv. Math., Beijing 48, No. 3, 315-324 (2019). MSC: 11L05 PDF BibTeX XML Cite \textit{X. Lin}, Adv. Math., Beijing 48, No. 3, 315--324 (2019; Zbl 1438.11113) Full Text: DOI